Grade 11 Trigonometric Proofs Worksheet
A worksheet for Grade 11 students to practice proving trigonometric identities.
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Standards
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Grade 11 Trigonometric Proofs
Name:
Date:
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Prove the following trigonometric identities. Show all your steps clearly.
1. Prove the identity: (sin x + cos x)² = 1 + 2 sin x cos x
2. Prove the identity: tan x + cot x = sec x csc x
3. True or False: (1 - cos²x) / sin x = sin x
True
False
4. The Pythagorean identity states that sin²θ + cos²θ = .
5. Which of the following is equivalent to (sec²x - 1)?
sin²x
cos²x
tan²x
cot²x
6. Prove the identity: (1 - sin x) / cos x = cos x / (1 + sin x)
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